Question

I could use some help with this problem I think I have the answer but I’m not sure and I need help graphing

Answer 1

Given:

$8x+8\ge-64\text{ and }-7-8x\ge-79$

To find the interval:

Solving we get,

$\begin{gathered} 8x+8\ge-64 \\ 8x\ge-64-8 \\ 8x\ge-72 \\ x\ge-9\ldots\ldots\ldots..(1) \end{gathered}$$\begin{gathered} -7-8x\ge-79 \\ -8x\ge-79+7 \\ -8x\ge-72 \\ x\leq9\ldots\ldots\ldots\ldots(2) \end{gathered}$

Therefore, the number line is,